A transmission is disclosed having a planetary gear set with three input torque-transmitting mechanisms, such as friction clutches, to achieve torque flow through the planetary gear set to a countershaft gearing arrangement. The transmission includes an input member, an output member, a planetary gear set, a first, second and third torque-transmitting mechanisms and a countershaft gearing arrangement. The countershaft gearing arrangement is operatively connected with the planetary gear set and includes: a plurality of sets of co-planar intermeshing gears, a first intermediate shaft, a second intermediate shaft concentric with the first intermediate shaft, and a third intermediate shaft concentric with the second intermediate shaft.